429168 ÷ 81 
The aim is to understand the frequency of 81 in 429168.

Let's proceed to step 1:
4 divided by 81 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 81

Going ahead to step 2:
If we divide 42 by 81, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 81

Moving on to step 3:
If we divide 429 by 81, we get 5 and a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 405 from 429 and we're left with 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 81

Going ahead to step 4:
81 can be fit into 241 2 times, resulting in a remainder of 79.
The next digit of our result is 2. 
Result so far: 52.0
If we subtract 162 from 241, we get 79.
Append the next digit (6) from the dividend to 79 and continue with: 796 / 81

Step 5:
796 divided by 81 is 9 with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 529.0
Deduct 729 from 796 and we're left with 67.
Take the next digit (8) from the dividend and append it to 67, then repeat: 678 / 81

Let's proceed to step 6:
When dividing 678 by 81, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 5298.0
If we subtract 648 from 678, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
81 goes into 300 3 times with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 5298.3
If we take 243 away from 300, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 8:
If we divide 570 by 81, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 5298.37
The remainder is 3 after subtracting 567 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
30 divided by 81 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 5298.37
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
When dividing 300 by 81, we get 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 5298.3703
If we take 243 away from 300, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 11:
If we divide 570 by 81, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 5298.37037
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
If we divide 30 by 81, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 5298.37037
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
81 can be fit into 300 3 times, resulting in a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 5298.3703703
Deduct 243 from 300 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 14:
If we divide 570 by 81, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 5298.37037037
If we take 567 away from 570, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 5298.37037037, and the remainder is 3e-09.